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Finding the Fourth Proportional to 68,834.30, 103,209.91 and 30,876.64

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Solution

The fourth proportional to 68,834.30, 103,209.91 and 30,876.64 is: 46,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,834.30 : 103,209.91 = 30,876.64 : x
  2. Step 2: Convert to fraction form
    68,834.30/103,209.91 = 30,876.64/x
  3. Step 3: Cross multiply
    68,834.30x = 103,209.91 × 30,876.64
  4. Step 4: Simplify right side
    68,834.30x = 3,186,774,900.29
  5. Step 5: Solve for x
    x = 3,186,774,900.29/68,834.30
  6. Step 6: Final answer
    x = 46,296.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.